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| HAL: inria-00528527, version 1 |
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| Asymptotic methods, mechanics and other applications, Rennes : France (2009) |
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| Skin Effect Description in Electromagnetism with a Multiscaled Asymptotic Expansion |
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| Gabriel Caloz 1Monique Dauge 1 |
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| (2009-09-01) |
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| We study a transmission problem in high contrast media. The three-dimensional case of the Maxwell equations in harmonic regime is considered. We derive an asymptotic expansion with respect to a small parameter related to high conductivity. This expansion is theoretically justified at any order. Numerical simulations in axisymmetric geometry highlight the skin effect and the expansion accuracy. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 2: | IPSO (INRIA - IRMAR) |
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CNRS : UMR6074 – INRIA – Université de Rennes 1 |
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| Domain | : | Mathematics/Numerical Analysis |
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| Attached file list to this document: | |||||
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| inria-00528527, version 1 | |
| http://hal.inria.fr/inria-00528527 | |
| oai:hal.inria.fr:inria-00528527 | |
| From: Victor Péron | |
| Submitted on: Friday, 22 October 2010 19:14:01 | |
| Updated on: Monday, 25 October 2010 14:14:50 | |
